Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 435/91,294/89,170/788
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 435,294,170
Greatest Common Factor of Numerators i.e. GCF of 435,294,170 is 1 .
LCM of Denominators means LCM of 91,89,788 as per the given fractions.
LCM of 91,89,788 is 6382012 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 435,294,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 435,294,170 . The biggest common factor number is the GCF number.
So the greatest common factor 435,294,170 is 1.
Lets's calculate LCM of 91,89,788
Given numbers has no common factors except 1. So, there LCM is their product i.e 6382012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6382012
Therefore, the GCF of Fractions 435/91,294/89,170/788 is 1/6382012
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 91,89,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,89,788) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,89,788) x common factors =1 x 1 = 1
LCM(91,89,788) = ( 91 × 89 × 788 ) / 1
LCM(91,89,788) = 6382012 / 1
LCM(91,89,788) = 6382012
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 435/91, 294/89, 170/788?
Answer: GCF of Numerators as per given numbers 435/91, 294/89, 170/788 is
GCF of Numerators i.e. for 435,294,170 is 1
LCM of denominators i.e. for 91,89,788 is 6382012.
Thus, GCF of Fractions is 1/6382012.Finally, GCF of Fractions for 435/91, 294/89, 170/788 is 1/6382012.